Finite Group DatabasebetaFinite Group Databasebeta| order | 34688 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
| direct product | C2×#31774452 |
| Fitting | C2×C4⋊Q8×C271 ⋊ C2 |
| Sylow | C271 ⋊ C2×#533 |
1168 conjugacy classes of subgroups.
| transitive degree | μt(G) = 17344 |
3836 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(34688, 17799);